“While the members of the Trinity are co-equal and co-eternal, they have different roles or functions within the Godhead. This is known as the economic Trinity. Each performs their role with
The Trinity belief consists of three co-equal, yet distinct and individualistic persons; they are God in each of themselves, but cannot be God by themselves. They are co-eternal, co-equal, co-decision makers, yet not corporate, with three different wills (Jn12:49, Jn16:13) within one Will of God. This is what they say: full cooperation of the other members. There have been those who have argued that each member of the Trinity is free to perform any role within the Godhead. Yet it seems more in keeping with Scripture that they have been eternally ordered as the Father, Son, and Holy Spirit.” - Don Stewart, Apologist & Speaker, Author of more than 20 books,
“John Calvin says, ‘[The] Father and Son and Spirit are one God, yet the Son is not the Father, nor the Spirit the Son, but … they are differentiated by a peculiar quality’ (Institutes 1.13.5). The Father is God, the Son is God, and the Spirit is God, but the Father is not the Son or Spirit, the Son is not the Father or Spirit, and the Spirit is not the Father or Son. This is the heart of our faith and the confession of the church throughout all ages.” - Three Distinct Persons, Tabletalk Magazine, an outreach of Ligonier Ministries.
“The doctrine of the Trinity means that there is one God who eternally exists as three distinct Persons — the Father, Son, and Holy Spirit. Stated differently, God is one in essence and three in person. These definitions express three crucial truths: (1) the Father, Son, and Holy Spirit are distinct Persons, (2) each Person is fully God, (3) there is only one God.” - Matt Perman, https://www.DesiringGod.org/articles/What-is-the-Doctrine-of-the-Trinity
Besides the Trinity belief creating the world’s most incomprehensible grammatical and mathematical tragedy, John Calvin, a revered forefather in Christendom, seems rather upset when trying to understand it as well.
“This I give you to share, and to defend all your life, the One Godhead and Power, found in the Three in Unity, and comprising the Three separately, not unequal, in substances or natures, neither increased nor diminished by superiorities or inferiorities; in every respect equal, in every respect the same; just as the beauty and the greatness of the heavens is one; the infinite conjunction of Three Infinite Ones, Each God when considered in Himself; as the Father so the Son, as the Son so the Holy Ghost; theThree One God when contemplated together; Each God because Consubstantial; One God because of the Monarchia. No sooner do I conceive of the One than I am illumined by the Splendor of the Three; no sooner do I distinguish them than I am carried back to the One. When I think of any One of the Three I think of Him as the Whole, and my eyes are filled, and the greater part of what I am thinking of escapes me. I cannot grasp the greatness of that One so as to attribute a greater greatness to the Rest. When I contemplate the Three together, I see but one torch, and cannot divide or measure out the Undivided Light.” - John Calvin, Institutes of the Christian Religion
The Bottom Line
We must remember first that there is not one Father and two manifestations. Without the creation of Adam (Lk 3:38) and Jesus (Jn 3:16), Yahweh would not be a Father to us. That said, we must recognize that the Lord God, Yahweh, reveals himself in three commonly recognized manifestations to us, Father, Son, and Holy Ghost. However, that was not all; He also revealed himself to us in other ways, such as the Pillar of Cloud/Fire (Ex 13:21), as thehand writing on the wall (Dan 5), and as the burning bush (Ex 3).
For a trinity to exist, a co-equal state must exist, yet it doesn’t according to John 12 and John 16
Son is Un-Equal
"For I did not speak on My own initiative, but the Father Himself who sent Me has given Me a commandment as to what to say and what to speak. - Jn 12
Holy Spirit is Unequal
"But when He, the Spirit of truth, comes, He will guide you into all the truth; for He will not speak on His own initiative, but whatever He hears, He will speak;...” - John 16
For the Trinity to work, the Son has to be equal eternally. Rather than rewriting it here, we are linking our article called the Equality of the Son .